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Finding the Fourth Proportional to 274.72, 411.12 and 165.92

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Solution

The fourth proportional to 274.72, 411.12 and 165.92 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.72 : 411.12 = 165.92 : x
  2. Step 2: Convert to fraction form
    274.72/411.12 = 165.92/x
  3. Step 3: Cross multiply
    274.72x = 411.12 × 165.92
  4. Step 4: Simplify right side
    274.72x = 68,213.03
  5. Step 5: Solve for x
    x = 68,213.03/274.72
  6. Step 6: Final answer
    x = 248.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.